Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 182, 687, 405, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 687, 405, 140 is 1
GCD(182, 687, 405, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 687, 405, 140 is 1
GCD(182, 687, 405, 140) = 1
Given Input numbers are 182, 687, 405, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 182, 687, 405, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 687, 405, 140 is 1.
Therefore, GCD of numbers 182, 687, 405, 140 is 1
Given Input Data is 182, 687, 405, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 687 is 3 x 229
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 140 is 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(182, 687) = 125034
GCD(182, 687) = ( 182 x 687 ) / 125034
GCD(182, 687) = 125034 / 125034
GCD(182, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 182, 687, 405, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 687, 405, 140?
GCD of 182, 687, 405, 140 is 1
2. Where do I get the detailed procedure to find GCD of 182, 687, 405, 140?
You can find a detailed procedure to find GCD of 182, 687, 405, 140 on our page.
3. How to find GCD of 182, 687, 405, 140 on a calculator?
You can find the GCD of 182, 687, 405, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.